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Data:
50 52.4 57.5 52.5 57.5 57.6 48.3 52 62.1 59.1 62.6 57.9 59.3 61.5 66 61.1 63.8 69.6 57 59.9 63.8 69.8 64.6 60.8 64.7 63.6 68.8 66.4 64.4 65.3 63 61.1 67.7 72.3 65.4 63.2 69.4 62.3 71 68.6 62 68.2 66.8 65.5 76.9 78.1 67.6 80.1 64.7 70.4 84.6 75.1 69.6 81.8 74.2 72.9 84.9 80.5 79.6 90.8 76.5 70.9 82.3 77.8 75.6 81.3 71 75.1 89.2 84.1 82.7 82.4 78.2 78.5 91.5 76.6 80.6 85.9 74.5 79.4 89.7 92.7 89.6 87 80.9 76.2 89.7 79.1 82.4 90.3 85.8 83.5 85.1 90.6 87.7 86 89.7 86.2 91.1 91.3 85.5 92 91.5 80 100.9 97.3 89.1 104 80.2 83.3 97.5 86.8 84.3 93.4 90.2 82.5 93.7 93.9 91.1 96.9 88.2 100.9 109.5 91 89.5 109.6 97.9 94.9 103.5 100 107.1 108 95 102.2 131.4 104.5 105.6 106.1 98 113 113.2 105.4 100.1 100.7 96.1 98.2 123.5 93.9 94.8 103.5 105.3 105.8 112 114.5 108.3 103.8 103 97.7 118.7 115.1 110 117.3 119.1 105.9 114.1 124.6 117.3 115 103.6 113.4 122 122.5 119.6 132.6 113 107.5 139.3 134.6 125.6 124 111.9 101.5 130.2 121.9 111.3 122 116.4 119.1 133 128.9 126.1 122.3 110.2 113.6 131 123.2 120.7 142.8 131.7 131.6 139 128.5 122.7 148.4 118.6 126.3 141 120.9 127 138.5 131.9 136.3
Seasonal Period
12
12
1
2
3
4
6
12
Chart options
R Code
par1 <- as.numeric(par1) n.orig <- length(x) x <- na.omit(x) n <- length(x) sx <- sort(x) load(file='createtable') a<-table.start() a<-table.row.start(a) a<-table.element(a,'Variance Reduction Matrix',6,TRUE) a<-table.row.end(a) if(n.orig!=n) { a<-table.row.start(a) a<-table.element(a,'Warning: NAs were removed from the time series! The results shown below will only be correct if the NAs are all located at the start and/or end of the time series.',6,F) a<-table.row.end(a) } for (bigd in 0:2) { for (smalld in 0:3) { mylabel <- 'V(Y[t],d=' mylabel <- paste(mylabel,as.character(smalld),sep='') mylabel <- paste(mylabel,',D=',sep='') mylabel <- paste(mylabel,as.character(bigd),sep='') mylabel <- paste(mylabel,')',sep='') a<-table.row.start(a) a<-table.element(a,mylabel,header=TRUE) myx <- x if (smalld > 0) myx <- diff(myx,lag=1,differences=smalld) if (bigd > 0) myx <- diff(myx,lag=par1,differences=bigd) a<-table.element(a,signif(var(myx), digits=6)) a<-table.element(a,'Range',header=TRUE) a<-table.element(a,signif(max(myx)-min(myx), digits=6)) a<-table.element(a,'Trim Var.',header=TRUE) smyx <- sort(myx) sn <- length(smyx) a<-table.element(a,signif(var(smyx[smyx>quantile(smyx,0.05) & smyx<quantile(smyx,0.95)]), digits=6)) a<-table.row.end(a) } } a<-table.end(a) table.save(a,file='mytable.tab') bitmap(file='pic0.png') op <- par(mfrow=c(2,2)) plot(x,type='l',xlab='time',ylab='value',main='d=0, D=0') plot(diff(x,lag=1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=0') plot(diff(x,lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=0, D=1') plot(diff(diff(x,lag=1,differences=1),lag=par1,differences=1),type='l',xlab='time',ylab='value',main='d=1, D=1') par(op) dev.off()
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